Finding the Third Proportional to 83,550 and 129,570

Step by Step Solution

1. Step 1: Write the proportion equation
   83,550 : 129,570 = 129,570 : x
2. Step 2: Convert to fraction form
   83,550/129,570 = 129,570/x
3. Step 3: Cross multiply
   83,550x = 129,570 × 129,570
4. Step 4: Simplify right side
   83,550x = 16,788,384,900
5. Step 5: Solve for x
   x = 16,788,384,900/83,550
6. Step 6: Final answer
   x = 200,938.18